b) What is the theoretical minimum for the number of workstations that rosenberg
ID: 360978 • Letter: B
Question
b) What is the theoretical minimum for the number of workstations that rosenberg can acheive in this assembly line?
c) Can the theoretical minimum actually be reached when workstations are assigned?
Stanford Rosenberg Computing wants to establish an assembly line for producing a new product, the Personal Digital Assistant (PDA). The tasks, task times, and immediate predecessors for the tasks are as follows Immediate Time (sec) Task Predecessor 14 12 B, C 4 20 Rosenberg's goal is to produce 180 PDAs per hour a) The cycle time for the production of a PDAseconds (round your response to two decimal places)Explanation / Answer
Since the target is to produce 180 PDAs per hour (i.e. 3600 seconds)
Therefore, required workstation cycle time
= Time available / Number of PDAs to be produced
= 3600 / 180
= 20 seconds/ PDA
Total duration of all tasks (A to E) = 11 + 14 + 8 +4 + 20 = 57 seconds
The precedence diagram as follows:
A
B
C
D
E
Thus, theoretical minimum number of workstations
= Total duration of all tasks / Workstation cycle time
= 57 / 20
= 2.85 (3 rounded to nearest whole number)
Thus, theoretical minimum number of workstations = 3
The allocation of tasks to each workstation after ensuring relationships as per precedence diagram and total duration of all tasks in any workstation not exceeding cycle time of 20 seconds as follows:
WORKSTATION
TASKS
TOTAL DURATION (SECONDS)
1
A, C
11 + 8 = 19
2
B, D
14 + 4 = 18
3
E
20
Therefore, theoretical minimum number of workstations can be reached while assigning tasks to workstations
CYCLE TIME FOR PRODUCTION OF A PDA = 20 SECONDS
THEORETICAL MINIMUM NUMBER OF WORKTATIONS THAT CAN BE ACHIEVED = 3
YES, THEORETICAL MINIMUM NUMBER OF WORKSTATIONS CAN BE REACHED
A
B
C
D
E
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